Base e Assignment

eln 1 = eln 5x =

1 5x

n e3 = ln e2y =

3 2y

Identify the error in the student solution shown below. Find the correct answer.

Since 0 in ln(3x) - 0 is not a logarithm, the property of logarithms cannot be used here.

ln 16 - ln 8

( A ) in 2

n 2 + ln 8 - ln 4

( A ) in 4

in 2a/b

(A)

Expand each expression. ln 3x =

(C) in 3 + in x

Identify the graph of y = ex - 2.

B

A town predicts that its population will double in es001-1.jpg years. Simplify the expression. In how many years will the population of the town double? 5

5

Expand each expression. ln (2x)4

A

Solve: 4 ln x = 2 ln 25

A

Identify the graph of y = ln x + 1.

B

Solve: 3 ln x = ln 216

B

in 4y5/x2

B

Identify the solution set of 6 ln e = eln 2x

B 3

Which expressions are equivalent to 2 ln a + 2 ln b - ln a? Check all that apply.

B C E

Identify the solution set of 3 ln 4 = 2 ln x.

C 8

Which expressions are equivalent to ln x + 2 ln 5 + ln 1? Check all that apply.

C D